\begin{table}[H]
\caption{Common scenario parameters}
\begin{center}
\begin{tabular}{|c|r|l|}
\hline
G & 100 & Cost of the public good to be shared \\
N & 10  & Number of the agents (households) \\
\hline
\end{tabular}
\end{center}
\label{tab:scen_gen}
\end{table}

\begin{table}[H]
\caption{Scenario parameters}
\begin{center}
\begin{tabular}{|r|rr|rr|rr|}
\hline
 & 
\multicolumn{2}{|c|}{Scenario A} & 
\multicolumn{2}{|c|}{Scenario B} &
\multicolumn{2}{|c|}{Scenario C} \\
\hline
$i$ & $\alpha_i$ & $y_i$ & $\alpha_i$ & $y_i$ &$\alpha_i$ & $y_i$ \\
\hline
 1 &0.55 &91.15 & & & & \\
 2 &0.75 &121.29& & & & \\
 3 &0.54 &100.49& & & & \\
 4 &0.23 &93.48 & & & & \\
 5 &0.43 &107.64& & & & \\
 6 &0.56 &127.22& & & & \\
 7 &0.72 &98.34 & & & & \\
 8 &0.67 &74.08 & & & & \\
 9 &0.47 &85.57 & & & & \\
10 &0.54 &100.62& & & & \\
\hline
\end{tabular}
\end{center}
\label{tab:scen}
\end{table}

\subsubsection{Scenario A details}
Agents' endowments $y$ and marginal rate of substitution between private consumption and public good provision $\alpha$ \footnote{Marginal rate of substitution $MRS_{cx}=\alpha$ is the amount of private consumtion level $c$ that can be exchanged for one unit of public good provision without changing utility, i.e. $\alpha$ units of $c$ is worth $1$ unit of $Pg\cdot G$} were drawn from the normal distributions $N(\mu,\sigma)$ with following parameters:
\begin{table}[H]
\caption{Normal distributions parameters for scenario A}
\begin{center}
\begin{tabular}{|r|rr|}
\hline
 & Mean $\mu$ & Variance $\sigma$ \\
\hline
$\alpha_i$ &   $0.6$ &  $0.1$ \\
$y_i$ 	   & $100.0$ & $20.0$ \\
\hline
\end{tabular}
\end{center}
\label{tab:norm_par_A}
\end{table}
\subsubsection{Scenario B details}
\subsubsection{Scenario C details}
